53837562240 has 576 divisors, whose sum is σ = 235933747920. Its totient is φ = 11186380800.

The previous prime is 53837562239. The next prime is 53837562241. The reversal of 53837562240 is 4226573835.

53837562240 is a `hidden beast` number, since 5 + 3 + 83 + 7 + 562 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53837562239) and next prime (53837562241).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53837562241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3095970 + ... + 3113310.

Almost surely, 2^53837562240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53837562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117966873960).

53837562240 is an abundant number, since it is smaller than the sum of its proper divisors (182096185680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53837562240 is a wasteful number, since it uses less digits than its factorization.

53837562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17391 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 538 and 37562240, that added together give a triangular number (37562778 = T₈₆₆₇).

The spelling of 53837562240 in words is "fifty-three billion, eight hundred thirty-seven million, five hundred sixty-two thousand, two hundred forty".